Optical imaging lens

ABSTRACT

An optical imaging lens is provided, sequentially including a first lens element, an aperture, a second lens element, a third lens element, a fourth lens element, and a fifth lens element from an object side to an image side along an optical axis. The optical imaging lens satisfies conditional expressions V2+V3+V4+V5≤170.000 and (T2+T4)/(T1+G12)≥2.900. Furthermore, other optical imaging lenses are also provided.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the priority benefit of China application serialno. 201911043756.3, filed on Oct. 30, 2019. The entirety of theabove-mentioned patent application is hereby incorporated by referenceherein and made a part of this specification.

BACKGROUND OF THE INVENTION 1. Field of the Invention

The disclosure relates to an optical element, and in particular, to anoptical imaging lens.

2. Description of Related Art

In recent years, an optical imaging lens has been continuously improved.The optical imaging lens is required to be light, thin, and small, andit is also important to expand a field of view of the optical imaginglens and improve imaging quality such as reducing an astigmaticaberration and a chromatic aberration of the lens.

However, if a distance from an object-side surface of a first lenselement of the optical imaging lens to an image plane along an opticalaxis is increased as required, mobile phones and digital cameras cannotstay thin. Therefore, it is always a goal to design a light, thin, andsmall optical imaging lens with a large field of view and desiredimaging quality. Furthermore, the optical imaging lens tends to bedesigned to occupy a smaller area when being arranged in a photographingapparatus.

SUMMARY OF THE INVENTION

The disclosure provides an optical imaging lens, which has a relativelylarge field of view and a shorter length, occupies a smaller area whenbeing arranged in a photographing apparatus, and maintains desiredimaging quality.

An embodiment of the disclosure provides an optical imaging lens,sequentially including a first lens element, an aperture, a second lenselement, a third lens element, a fourth lens element, and a fifth lenselement from an object side to an image side along an optical axis. Eachof the first lens element to the fifth lens element includes anobject-side surface facing the object side and allowing imaging rays topass through and an image-side surface facing the image side andallowing the imaging rays to pass through. The first lens element hasnegative refracting power. A periphery region of the object-side surfaceof the third lens element is concave, and a periphery region of theimage-side surface of the third lens element is concave. Only the firstlens element to the fifth lens element of the optical imaging lens haverefracting power, and the optical imaging lens satisfies the followingconditional expression: (T2+T4)/(T1+G12)≥2.900. T1 is a thickness of thefirst lens element along the optical axis, T2 is a thickness of thesecond lens element along the optical axis, T4 is a thickness of thefourth lens element along the optical axis, and G12 is an air gapbetween the first lens element and the second lens element along theoptical axis.

An embodiment of the disclosure provides an optical imaging lens,sequentially including a first lens element, an aperture, a second lenselement, a third lens element, a fourth lens element, and a fifth lenselement from an object side to an image side along an optical axis. Eachof the first lens element to the fifth lens element includes anobject-side surface facing the object side and allowing imaging rays topass through and an image-side surface facing the image side andallowing the imaging rays to pass through. A periphery region of theimage-side surface of the third lens element is concave. The fourth lenselement has positive refracting power. Only the first lens element tothe fifth lens element of the optical imaging lens have refractingpower, and the optical imaging lens satisfies the following conditionalexpressions: (T2+T4)/(T1+G12)≥2.900 and V2+V3+V4+V5≤170.000. T1 is athickness of the first lens element along the optical axis, T2 is athickness of the second lens element along the optical axis, T4 is athickness of the fourth lens element along the optical axis, G12 is anair gap between the first lens element and the second lens element alongthe optical axis, V2 is an Abbe number of the second lens element, V3 isan Abbe number of the third lens element, V4 is an Abbe number of thefourth lens element, and V5 is an Abbe number of the fifth lens element.

An embodiment of the disclosure provides an optical imaging lens,sequentially including a first lens element, an aperture, a second lenselement, a third lens element, a fourth lens element, and a fifth lenselement from an object side to an image side along an optical axis. Eachof the first lens element to the fifth lens element includes anobject-side surface facing the object side and allowing imaging rays topass through and an image-side surface facing the image side andallowing the imaging rays to pass through. A periphery region of theobject-side surface of the third lens element is concave, and aperiphery region of the image-side surface of the third lens element isconcave. Only the first lens element to the fifth lens element of theoptical imaging lens have refracting power, and the optical imaging lenssatisfies the following conditional expressions: (T2+T4)/(T1+G12)≥2.900and V2+V3+V4+V5≤170.000. T1 is a thickness of the first lens elementalong the optical axis, T2 is a thickness of the second lens elementalong the optical axis, T4 is a thickness of the fourth lens elementalong the optical axis, G12 is an air gap between the first lens elementand the second lens element along the optical axis, V2 is an Abbe numberof the second lens element, V3 is an Abbe number of the third lenselement, V4 is an Abbe number of the fourth lens element, and V5 is anAbbe number of the fifth lens element.

Based on the above, the optical imaging lens in the embodiments of thedisclosure has the following beneficial effects: as designed to satisfythe foregoing concave-convex surface arrangement of lens elements andrefracting power conditions and satisfy the foregoing conditionalexpressions, the optical imaging lens can have a relatively large fieldof view, occupy a smaller area when being arranged in a photographingapparatus, have a shorter length, and maintain desired imaging quality.

In order to make the aforementioned features and advantages of thedisclosure comprehensible, embodiments accompanied with accompanyingdrawings are described in detail below.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic diagram to describe a surface structure of a lenselement.

FIG. 2 is a schematic diagram to describe a concave-convex surfacestructure and a ray focus of a lens element.

FIG. 3 is a schematic diagram to describe a surface structure of a lenselement in an example 1.

FIG. 4 is a schematic diagram to describe a surface structure of a lenselement in an example 2.

FIG. 5 is a schematic diagram to describe a surface structure of a lenselement in an example 3.

FIG. 6 is a schematic diagram of an optical imaging lens according to afirst embodiment of the disclosure.

FIG. 7A to FIG. 7D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thefirst embodiment.

FIG. 8 shows detailed optical data of the optical imaging lens accordingto the first embodiment of the disclosure.

FIG. 9 shows an aspheric surface parameter of the optical imaging lensaccording to the first embodiment of the disclosure.

FIG. 10 is a schematic diagram of an optical imaging lens according to asecond embodiment of the disclosure.

FIG. 11A to FIG. 11D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thesecond embodiment.

FIG. 12 shows detailed optical data of the optical imaging lensaccording to the second embodiment of the disclosure.

FIG. 13 shows an aspheric surface parameter of the optical imaging lensaccording to the second embodiment of the disclosure.

FIG. 14 is a schematic diagram of an optical imaging lens according to athird embodiment of the disclosure.

FIG. 15A to FIG. 15D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thethird embodiment.

FIG. 16 shows detailed optical data of the optical imaging lensaccording to the third embodiment of the disclosure.

FIG. 17 shows an aspheric surface parameter of the optical imaging lensaccording to the third embodiment of the disclosure.

FIG. 18 is a schematic diagram of an optical imaging lens according to afourth embodiment of the disclosure.

FIG. 19A to FIG. 19D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thefourth embodiment.

FIG. 20 shows detailed optical data of the optical imaging lensaccording to the fourth embodiment of the disclosure.

FIG. 21 shows an aspheric surface parameter of the optical imaging lensaccording to the fourth embodiment of the disclosure.

FIG. 22 is a schematic diagram of an optical imaging lens according to afifth embodiment of the disclosure.

FIG. 23A to FIG. 23D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thefifth embodiment.

FIG. 24 shows detailed optical data of the optical imaging lensaccording to the fifth embodiment of the disclosure.

FIG. 25 shows an aspheric surface parameter of the optical imaging lensaccording to the fifth embodiment of the disclosure.

FIG. 26 is a schematic diagram of an optical imaging lens according to asixth embodiment of the disclosure.

FIG. 27A to FIG. 27D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to thesixth embodiment.

FIG. 28 shows detailed optical data of the optical imaging lensaccording to the sixth embodiment of the disclosure.

FIG. 29 shows an aspheric surface parameter of the optical imaging lensaccording to the sixth embodiment of the disclosure.

FIG. 30 is a schematic diagram of an optical imaging lens according to aseventh embodiment of the disclosure.

FIG. 31A to FIG. 31D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to theseventh embodiment.

FIG. 32 shows detailed optical data of the optical imaging lensaccording to the seventh embodiment of the disclosure.

FIG. 33 shows an aspheric surface parameter of the optical imaging lensaccording to the seventh embodiment of the disclosure.

FIG. 34 is a schematic diagram of an optical imaging lens according toan eighth embodiment of the disclosure.

FIG. 35A to FIG. 35D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to theeighth embodiment.

FIG. 36 shows detailed optical data of the optical imaging lensaccording to the eighth embodiment of the disclosure.

FIG. 37 shows an aspheric surface parameter of the optical imaging lensaccording to the eighth embodiment of the disclosure.

FIG. 38 is a schematic diagram of an optical imaging lens according to aninth embodiment of the disclosure.

FIG. 39A to FIG. 39D are diagrams of longitudinal spherical aberrationsand astigmatic aberrations of the optical imaging lens according to theninth embodiment.

FIG. 40 shows detailed optical data of the optical imaging lensaccording to the ninth embodiment of the disclosure.

FIG. 41 shows an aspheric surface parameter of the optical imaging lensaccording to the ninth embodiment of the disclosure.

FIG. 42 and FIG. 43 show numerical values of important parameters andrelational expressions of the optical imaging lens of the first to fifthembodiments of the disclosure.

FIG. 44 and FIG. 45 show numerical values of important parameters andrelational expressions of the optical imaging lens of the sixth to ninthembodiments of the disclosure.

DESCRIPTION OF THE EMBODIMENTS

The terms “optical axis region”, “periphery region”, “concave”, and“convex” used in this specification and claims should be interpretedbased on the definition listed in the specification by the principle oflexicographer.

In the present disclosure, the optical system may comprise at least onelens element to receive imaging rays that are incident on the opticalsystem over a set of angles ranging from parallel to an optical axis toa half field of view (HFOV) angle with respect to the optical axis. Theimaging rays pass through the optical system to produce an image on animage plane. The term “a lens element having positive refracting power(or negative refracting power)” means that the paraxial refracting powerof the lens element in Gaussian optics is positive (or negative). Theterm “an object-side (or image-side) surface of a lens element” refersto a specific region of that surface of the lens element at whichimaging rays can pass through that specific region. Imaging rays includeat least two types of rays: a chief ray Lc and a marginal ray Lm (asshown in FIG. 1). An object-side (or image-side) surface of a lenselement can be characterized as having several regions, including anoptical axis region, a periphery region, and, in some cases, one or moreintermediate regions, as discussed more fully below.

FIG. 1 is a radial cross-sectional view of a lens element 100. Tworeferential points for the surfaces of the lens element 100 can bedefined: a central point, and a transition point. The central point of asurface of a lens element is a point of intersection of that surface andthe optical axis I. As illustrated in FIG. 1, a first central point CP1may be present on the object-side surface 110 of lens element 100 and asecond central point CP2 may be present on the image-side surface 120 ofthe lens element 100. The transition point is a point on a surface of alens element, at which the line tangent to that point is perpendicularto the optical axis I. The optical boundary OB of a surface of the lenselement is defined as a point at which the radially outermost marginalray Lm passing through the surface of the lens element intersects thesurface of the lens element. All transition points lie between theoptical axis I and the optical boundary OB of the surface of the lenselement. If multiple transition points are present on a single surface,then these transition points are sequentially named along the radialdirection of the surface with reference numerals starting from the firsttransition point. For example, the first transition point, e.g., TP1,(closest to the optical axis I), the second transition point, e.g., TP2,(as shown in FIG. 4), and the Nth transition point (farthest from theoptical axis I).

The region of a surface of the lens element from the central point tothe first transition point TP1 is defined as the optical axis region,which includes the central point. The region located radially outside ofthe farthest Nth transition point from the optical axis I to the opticalboundary OB of the surface of the lens element is defined as theperiphery region. In some embodiments, there may be intermediate regionspresent between the optical axis region and the periphery region, withthe number of intermediate regions depending on the number of thetransition points.

The shape of a region is convex if a collimated ray being parallel tothe optical axis I and passing through the region is bent toward theoptical axis I such that the ray intersects the optical axis I on theimage side A2 of the lens element. The shape of a region is concave ifthe extension line of a collimated ray being parallel to the opticalaxis I and passing through the region intersects the optical axis I onthe object side A1 of the lens element.

Additionally, referring to FIG. 1, the lens element 100 may also have amounting portion 130 extending radially outward from the opticalboundary OB. The mounting portion 130 is typically used to physicallysecure the lens element to a corresponding element of the optical system(not shown). Imaging rays do not reach the mounting portion 130. Thestructure and shape of the mounting portion 130 are only examples toexplain the technologies, and should not be taken as limiting the scopeof the present disclosure. The mounting portion 130 of the lens elementsdiscussed below may be partially or completely omitted in the followingdrawings.

Referring to FIG. 2, optical axis region Z1 is defined between centralpoint CP and first transition point TP1. Periphery region Z2 is definedbetween TP1 and the optical boundary OB of the surface of the lenselement. Collimated ray 211 intersects the optical axis I on the imageside A2 of lens element 200 after passing through optical axis regionZ1, i.e., the focal point of collimated ray 211 after passing throughoptical axis region Z1 is on the image side A2 of the lens element 200at point R in FIG. 2. Accordingly, since the ray itself intersects theoptical axis I on the image side A2 of the lens element 200, opticalaxis region Z1 is convex. On the contrary, collimated ray 212 divergesafter passing through periphery region Z2. The extension line EL ofcollimated ray 212 after passing through periphery region Z2 intersectsthe optical axis I on the object side A1 of lens element 200, i.e., thefocal point of collimated ray 212 after passing through periphery regionZ2 is on the object side A1 at point M in FIG. 2. Accordingly, since theextension line EL of the ray intersects the optical axis I on the objectside A1 of the lens element 200, periphery region Z2 is concave. In thelens element 200 illustrated in FIG. 2, the first transition point TP1is the border of the optical axis region and the periphery region, i.e.,TP1 is the point at which the shape changes from convex to concave.

Alternatively, there is another way for a person having ordinary skillin the art to determine whether an optical axis region is convex orconcave by referring to the sign of “Radius” (the “R” value), which isthe paraxial radius of shape of a lens surface in the optical axisregion. The R value is commonly used in conventional optical designsoftware such as Zemax and CodeV. The R value usually appears in thelens data sheet in the software. For an object-side surface, a positiveR value defines that the optical axis region of the object-side surfaceis convex, and a negative R value defines that the optical axis regionof the object-side surface is concave. Conversely, for an image-sidesurface, a positive R value defines that the optical axis region of theimage-side surface is concave, and a negative R value defines that theoptical axis region of the image-side surface is convex. The resultfound by using this method should be consistent with the methodutilizing intersection of the optical axis by rays/extension linesmentioned above, which determines surface shape by referring to whetherthe focal point of a collimated ray being parallel to the optical axis Iis on the object-side or the image-side of a lens element. As usedherein, the terms “a shape of a region is convex (concave),” “a regionis convex (concave),” and “a convex- (concave-) region,” can be usedalternatively.

FIG. 3, FIG. 4 and FIG. 5 illustrate examples of determining the shapeof lens element regions and the boundaries of regions under variouscircumstances, including the optical axis region, the periphery region,and intermediate regions as set forth in the present specification.

FIG. 3 is a radial cross-sectional view of a lens element 300. Asillustrated in FIG. 3, only one transition point TP1 appears within theoptical boundary OB of the image-side surface 320 of the lens element300. Optical axis region Z1 and periphery region Z2 of the image-sidesurface 320 of lens element 300 are illustrated. The R value of theimage-side surface 320 is positive (i.e., R>0). Accordingly, the opticalaxis region Z1 is concave.

In general, the shape of each region demarcated by the transition pointwill have an opposite shape to the shape of the adjacent region(s).Accordingly, the transition point will define a transition in shape,changing from concave to convex at the transition point or changing fromconvex to concave. In FIG. 3, since the shape of the optical axis regionZ1 is concave, the shape of the periphery region Z2 will be convex asthe shape changes at the transition point TP1.

FIG. 4 is a radial cross-sectional view of a lens element 400. Referringto FIG. 4, a first transition point TP1 and a second transition pointTP2 are present on the object-side surface 410 of lens element 400. Theoptical axis region Z1 of the object-side surface 410 is defined betweenthe optical axis I and the first transition point TP1. The R value ofthe object-side surface 410 is positive (i.e., R>0). Accordingly, theoptical axis region Z1 is convex.

The periphery region Z2 of the object-side surface 410, which is alsoconvex, is defined between the second transition point TP2 and theoptical boundary OB of the object-side surface 410 of the lens element400. Further, intermediate region Z3 of the object-side surface 410,which is concave, is defined between the first transition point TP1 andthe second transition point TP2. Referring once again to FIG. 4, theobject-side surface 410 includes an optical axis region Z1 locatedbetween the optical axis I and the first transition point TP1, anintermediate region Z3 located between the first transition point TP1and the second transition point TP2, and a periphery region Z2 locatedbetween the second transition point TP2 and the optical boundary OB ofthe object-side surface 410. Since the shape of the optical axis regionZ1 is designed to be convex, the shape of the intermediate region Z3 isconcave as the shape of the intermediate region Z3 changes at the firsttransition point TP1, and the shape of the periphery region Z2 is convexas the shape of the periphery region Z2 changes at the second transitionpoint TP2.

FIG. 5 is a radial cross-sectional view of a lens element 500. Lenselement 500 has no transition point on the object-side surface 510 ofthe lens element 500. For a surface of a lens element with no transitionpoint, for example, the object-side surface 510 the lens element 500,the optical axis region Z1 is defined as the region between 0-50% of thedistance between the optical axis I and the optical boundary OB of thesurface of the lens element and the periphery region is defined as theregion between 50%-100% of the distance between the optical axis I andthe optical boundary OB of the surface of the lens element. Referring tolens element 500 illustrated in FIG. 5, the optical axis region Z1 ofthe object-side surface 510 is defined between the optical axis I and50% of the distance between the optical axis I and the optical boundaryOB. The R value of the object-side surface 510 is positive (i.e., R>0).Accordingly, the optical axis region Z1 is convex. For the object-sidesurface 510 of the lens element 500, because there is no transitionpoint, the periphery region Z2 of the object-side surface 510 is alsoconvex. It should be noted that lens element 500 may have a mountingportion (not shown) extending radially outward from the periphery regionZ2.

FIG. 6 is a schematic diagram of an optical imaging lens according to afirst embodiment of the disclosure. FIG. 7A to FIG. 7D are diagrams oflongitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the first embodiment. Referring toFIG. 6 first, an optical imaging lens 10 in the first embodiment of thedisclosure sequentially includes a first lens element 1, an aperture 0,a second lens element 2, a third lens element 3, a fourth lens element4, a fifth lens element 5, and a filter 9 from an object side A1 to animage side A2 along an optical axis I of the optical imaging lens 10.After entering the optical imaging lens 10, rays emitted by ato-be-photographed object pass through the first lens element 1, theaperture 0, the second lens element 2, the third lens element 3, thefourth lens element 4, the fifth lens element 5, and the filter 9, andform an image on an image plane 99. The filter 9 is disposed between animage-side surface 56 of the fifth lens element 5 and the image plane99. It should be noted that, the object side is a side facing theto-be-photographed object, and the image side is a side facing the imageplane 99. In the present embodiment, the filter 9 is an infrared ray(IR) cut filter.

In the present embodiment, the first lens element 1, the second lenselement 2, the third lens element 3, the fourth lens element 4, thefifth lens element 5, and the filter 9 of the optical imaging lens 10include object-side surfaces 15, 25, 35, 45, 55, and 95 facing theobject side and allowing imaging rays to pass through and image-sidesurfaces 16, 26, 36, 46, 56, and 96 facing the image side and allowingthe imaging rays to pass through, respectively. In the presentembodiment, the aperture 0 is disposed between the first lens element 1and the second lens element 2.

The first lens element 1 has negative refracting power. The first lenselement 1 is made from a plastic material. An optical axis region 151 ofthe object-side surface 15 of the first lens element 1 is concave, and aperiphery region 153 of the object-side surface 15 of the first lenselement 1 is convex. An optical axis region 161 of the image-sidesurface 16 of the first lens element 1 is convex, and a periphery region163 of the image-side surface 16 of the first lens element 1 is concave.In the present embodiment, both the object-side surface 15 and theimage-side surface 16 of the first lens element 1 are aspheric surfaces,but the disclosure is not limited thereto.

The second lens element 2 has positive refracting power. The second lenselement 2 is made from a plastic material. An optical axis region 251 ofthe object-side surface 25 of the second lens element 2 is convex, and aperiphery region 253 of the object-side surface 25 of the second lenselement 2 is convex. An optical axis region 261 of the image-sidesurface 26 of the second lens element 2 is convex, and a peripheryregion 263 of the image-side surface 26 of the second lens element 2 isconvex. In the present embodiment, both the object-side surface 25 andthe image-side surface 26 of the second lens element 2 are asphericsurfaces, but the disclosure is not limited thereto.

The third lens element 3 has negative refracting power. The third lenselement 3 is made from a plastic material. An optical axis region 351 ofthe object-side surface 35 of the third lens element 3 is convex, and aperiphery region 353 of the object-side surface 35 of the third lenselement 3 is concave. An optical axis region 361 of the image-sidesurface 36 of the third lens element 3 is concave, and a peripheryregion 363 of the image-side surface 36 of the third lens element 3 isconcave. In the present embodiment, both the object-side surface 35 andthe image-side surface 36 of the third lens element 3 are asphericsurfaces, but the disclosure is not limited thereto.

The fourth lens element 4 has positive refracting power. The fourth lenselement 4 is made from a plastic material. An optical axis region 451 ofthe object-side surface 45 of the fourth lens element 4 is concave, anda periphery region 453 of the object-side surface 45 of the fourth lenselement 4 is convex. An optical axis region 461 of the image-sidesurface 46 of the fourth lens element 4 is convex, and a peripheryregion 463 of the image-side surface 46 of the fourth lens element 4 isconcave. In the present embodiment, both the object-side surface 45 andthe image-side surface 46 of the fourth lens element 4 are asphericsurfaces, but the disclosure is not limited thereto.

The fifth lens element 5 has negative refracting power. The fifth lenselement 5 is made from a plastic material. An optical axis region 551 ofthe object-side surface 55 of the fifth lens element 5 is convex, and aperiphery region 553 of the object-side surface 55 of the fifth lenselement 5 is concave. An optical axis region 561 of the image-sidesurface 56 of the fifth lens element 5 is concave, and a peripheryregion 563 of the image-side surface 56 of the fifth lens element 5 isconvex. In the present embodiment, both the object-side surface 55 andthe image-side surface 56 of the fifth lens element 5 are asphericsurfaces, but the disclosure is not limited thereto.

In the present embodiment, only the five lens elements of the opticalimaging lens 10 have refracting power.

Other detailed optical data of the first embodiment is shown in FIG. 8,and the optical imaging lens 10 in the first embodiment has an effectivefocal length (EFL) of 1.791 millimeters (mm), an HFOV of 48.675°, aF-number (Fno) of 2.561, a total track length (TTL) of 3.727 mm, and animage height of 2.297 mm. The TTL is a distance from the object-sidesurface 15 of the first lens element 1 to the image plane 99 along theoptical axis I.

In addition, in the present embodiment, all the object-side surfaces 15,25, 35, 45, and 55 and the image-side surfaces 16, 26, 36, 46, and 56 ofthe first lens element 1, the second lens element 2, the third lenselement 3, the fourth lens element 4, and the fifth lens element 5 areaspheric surfaces, and are general even aspheric surfaces. The asphericsurfaces are defined by the following formula:

$\begin{matrix}{{Z(Y)} = {{\frac{Y^{2}}{R}/\left( {1 + \sqrt{1 - {\left( {1 + K} \right)\frac{Y^{2}}{R^{2}}}}} \right)} + {\sum\limits_{i = 1}^{n}{a_{2i} \times Y^{2i}}}}} & (1)\end{matrix}$

where:

R is a curvature radius at a position, near the optical axis I, of asurface of a lens element;

Z is a depth of an aspheric surface (a perpendicular distance between apoint on the aspheric surface and having a distance Y to the opticalaxis I and a plane, tangent to the aspheric surface, of a vertex on theoptical axis I);

Y is distance between a point on an aspheric surface curve and theoptical axis I;

K is a conic constant; and

a_(2i) is a (2i)^(th)-order aspheric surface coefficient.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in Formula (1) are shown in FIG. 9. In FIG. 9, a field number 15corresponds to aspheric surface coefficients of the object-side surface15 of the first lens element 1, and other fields may be deduced byanalogy.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the first embodiment is shown in FIG. 42 and FIG. 43.

In FIG. 42 and FIG. 43,

EFL is an effective focal length of the optical imaging lens 10;

HFOV is a half field of view of the optical imaging lens 10;

Fno is a F-number of the optical imaging lens 10;

ImgH is an image height of the optical imaging lens 10;

T1 is a thickness of the first lens element 1 along the optical axis I;

T2 is a thickness of the second lens element 2 along the optical axis I;

T3 is a thickness of the third lens element 3 along the optical axis I;

T4 is a thickness of the fourth lens element 4 along the optical axis I;

T5 is a thickness of the fifth lens element 5 along the optical axis I;

G12 is a distance from the image-side surface 16 of the first lenselement 1 to the object-side surface 25 of the second lens element 2along the optical axis I, namely, an air gap between the first lenselement 1 and the second lens element 2 along the optical axis I;

G23 is a distance from the image-side surface 26 of the second lenselement 2 to the object-side surface 35 of the third lens element 3along the optical axis I, namely, an air gap between the second lenselement 2 and the third lens element 3 along the optical axis I;

G34 is a distance from the image-side surface 36 of the third lenselement 3 to the object-side surface 45 of the fourth lens element 4along the optical axis I, namely, an air gap between the third lenselement 3 and the fourth lens element 4 along the optical axis I;

G45 is a distance from the image-side surface 46 of the fourth lenselement 4 to the object-side surface 55 of the fifth lens element 5along the optical axis I, namely, an air gap between the fourth lenselement 4 and the fifth lens element 5 along the optical axis I;

G5F is a distance from the image-side surface 56 of the fifth lenselement 5 to the object-side surface 95 of the filter 9 along theoptical axis I, namely, an air gap between the fifth lens element 5 andthe filter 9 along the optical axis I;

TF is a thickness of the filter 9 along the optical axis I;

GFP is a distance from the image-side surface 96 of the filter 9 to theimage plane 99 along the optical axis I, namely, an air gap between thefilter 9 and the image plane 99 along the optical axis I;

TTL is a distance from the object-side surface 15 of the first lenselement 1 to the image plane 99 along the optical axis I;

BFL is a distance from the image-side surface 56 of the fifth lenselement 5 to the image plane 99 along the optical axis I;

AAG is a sum of four air gaps G12, G23, G34, and G45 between the firstlens element 1 and the fifth lens element 5 along the optical axis I;

ALT is a sum of five thicknesses T1, T2, T3, T4, and T5 of the firstlens element 1 to the fifth lens element 5 along the optical axis I; and

TL is a distance from the object-side surface 15 of the first lenselement 1 to the image-side surface 56 of the fifth lens element 5 alongthe optical axis I.

In addition, the following parameters are defined:

f1 is a focal length of the first lens element 1;

f2 is a focal length of the second lens element 2;

f3 is a focal length of the third lens element 3;

f4 is a focal length of the fourth lens element 4;

f5 is a focal length of the fifth lens element 5;

n1 is a refractive index of the first lens element 1;

n2 is a refractive index of the second lens element 2;

n3 is a refractive index of the third lens element 3;

n4 is a refractive index of the fourth lens element 4;

n5 is a refractive index of the fifth lens element 5;

V1 is an Abbe number of the first lens element 1, which may also bereferred to as a dispersion coefficient;

V2 is an Abbe number of the second lens element 2;

V3 is an Abbe number of the third lens element 3;

V4 is an Abbe number of the fourth lens element 4; and

V5 is an Abbe number of the fifth lens element 5.

Further referring to FIG. 7A to FIG. 7D, FIG. 7A graphically illustrateslongitudinal spherical aberrations according to the first embodiment,FIG. 7B and FIG. 7C respectively graphically illustrate field curvatureaberrations in a sagittal direction and field curvature aberrations in atangential direction on the image plane 99 in cases of wavelengths 470nm, 555 nm, and 650 nm according to the first embodiment, and FIG. 7Dgraphically illustrates distortion aberrations on the image plane 99 incases of wavelengths 470 nm, 555 nm, and 650 nm according to the firstembodiment. The longitudinal spherical aberrations of the firstembodiment are shown in FIG. 7A, and curves of all the wavelengths arequite close to each other and approach the middle. It indicates thatoff-axis rays of all the wavelengths at different heights are focusednear an imaging point. From deflection amplitude of the curves of allthe wavelengths, it can be seen that imaging point deviations of theoff-axis rays at different heights are controlled within a range of±0.014 mm. Therefore, a spherical aberration of a same wavelength isdefinitely reduced in the first embodiment. In addition, the threerepresentative wavelengths are also quite close to each other. Itindicates that imaging positions of rays of different wavelengths arequite focused. Therefore, chromatic and astigmatic aberrations are alsodefinitely reduced.

In the two field curvature aberration diagrams of FIG. 7B and FIG. 7C,focal length variations of the three representative wavelengths in anentire field of view fall within a range of ±0.04 mm. It indicates thatastigmatic aberrations can be effectively eliminated by the opticalsystem in the first embodiment. The distortion aberration diagram ofFIG. 7D shows that the distortion aberrations of the first embodimentare retained within a range of ±14%. It indicates that the distortionaberrations of the first embodiment satisfy an imaging qualityrequirement of the optical system. To be specific, different from anexisting optical lens, the first embodiment can still provide desiredimaging quality when the TTL is reduced to approximately 3.727 mm.Therefore, the first embodiment can have a shorter length and achievedesired imaging quality while maintaining desired optical properties.

FIG. 10 is a schematic diagram of an optical imaging lens according to asecond embodiment of the disclosure. FIG. 11A to FIG. 11D are diagramsof longitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the second embodiment. Referring toFIG. 10 first, the second embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffers as follows: optical data, aspheric surface coefficients, andparameters between the lens elements 1, 2, 3, 4, and 5 are different tosome extent. In addition, in the present embodiment, the peripheryregion 153 of the object-side surface 15 of the first lens element 1 isconcave. The optical axis region 161 of the image-side surface 16 of thefirst lens element 1 is concave. The periphery region 463 of theimage-side surface 46 of the fourth lens element 4 is convex. Herein, itshould be noted that, for clearly presenting the diagram, same referencenumbers of optical axis regions and periphery regions in the twoembodiments are omitted in FIG. 10.

Detailed optical data of the optical imaging lens 10 in the secondembodiment is shown in FIG. 12, and the optical imaging lens 10 in thesecond embodiment has an EFL of 2.066 mm, an HFOV of 52.641°, a Fno of2.770, a TTL of 3.834 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the second embodiment in Formula (1) are shown in FIG. 13.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the second embodiment is shown in FIG. 42 and FIG.43.

Longitudinal spherical aberrations of the second embodiment are shown inFIG. 11A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.012 mm. In two fieldcurvature aberration diagrams of FIG. 11B and FIG. 11C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.05 mm. A distortion aberration diagram ofFIG. 11D shows that distortion aberrations of the second embodiment areretained within a range of ±16%.

Based on the above, it can be seen that the HFOV in the secondembodiment is greater than the HFOV in the first embodiment. Therefore,compared with the first embodiment, the second embodiment has a largerimage receiving angle. In addition, the longitudinal sphericalaberrations of the second embodiment are less than the longitudinalspherical aberrations of the first embodiment.

FIG. 14 is a schematic diagram of an optical imaging lens according to athird embodiment of the disclosure. FIG. 15A to FIG. 15D are diagrams oflongitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the third embodiment. Referring toFIG. 14 first, the third embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: optical data, aspheric surface coefficients, andparameters between the lens elements 1, 2, 3, 4, and 5 are different tosome extent. In addition, in the present embodiment, the optical axisregion 161 of the image-side surface 16 of the first lens element 1 isconcave. The periphery region 463 of the image-side surface 46 of thefourth lens element 4 is convex. Herein, it should be noted that, forclearly presenting the diagram, same reference numbers of optical axisregions and periphery regions in the two embodiments are omitted in FIG.14.

Detailed optical data of the optical imaging lens 10 in the thirdembodiment is shown in FIG. 16, and the optical imaging lens 10 in thethird embodiment has an EFL of 1.901 mm, an HFOV of 50.662°, a Fno of2.666, a TTL of 3.8314 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the third embodiment in Formula (1) are shown in FIG. 17.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the third embodiment is shown in FIG. 42 and FIG. 43.

Longitudinal spherical aberrations of the third embodiment are shown inFIG. 15A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.012 mm. In two fieldcurvature aberration diagrams of FIG. 15B and FIG. 15C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.05 mm. A distortion aberration diagram ofFIG. 15D shows that distortion aberrations of the third embodiment areretained within a range of ±1.6%.

Based on the above, it can be seen that the HFOV in the third embodimentis greater than the HFOV in the first embodiment. Therefore, comparedwith the first embodiment, the third embodiment has a larger imagereceiving angle. In addition, the longitudinal spherical aberrations ofthe third embodiment are less than the longitudinal sphericalaberrations of the first embodiment, and the distortion aberrations ofthe third embodiment are less than the distortion aberrations of thefirst embodiment.

FIG. 18 is a schematic diagram of an optical imaging lens according to afourth embodiment of the disclosure. FIG. 19A to FIG. 19D are diagramsof longitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the fourth embodiment. Referring toFIG. 18 first, the fourth embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: optical data, aspheric surface coefficients, andparameters between the lens elements 1, 2, 3, 4, and 5 are different tosome extent. In addition, in the present embodiment, the optical axisregion 161 of the image-side surface 16 of the first lens element 1 isconcave. The periphery region 463 of the image-side surface 46 of thefourth lens element 4 is convex. Herein, it should be noted that, forclearly presenting the diagram, same reference numbers of optical axisregions and periphery regions in the two embodiments are omitted in FIG.18.

Detailed optical data of the optical imaging lens 10 in the fourthembodiment is shown in FIG. 20, and the optical imaging lens 10 in thefourth embodiment has an EFL of 1.866 mm, an HFOV of 52.642°, a Fno of2.770, a TTL of 3.755 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the fourth embodiment in Formula (1) are shown in FIG. 21.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the fourth embodiment is shown in FIG. 42 and FIG.43.

Longitudinal spherical aberrations of the fourth embodiment are shown inFIG. 19A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.016 mm. In two fieldcurvature aberration diagrams of FIG. 19B and FIG. 19C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.08 mm. A distortion aberration diagram ofFIG. 19D shows that distortion aberrations of the fourth embodiment areretained within a range of ±7%.

Based on the above, it can be seen that the HFOV in the fourthembodiment is greater than the HFOV in the first embodiment. Therefore,compared with the first embodiment, the fourth embodiment has a largerimage receiving angle. In addition, the distortion aberrations of thefourth embodiment are less than distortion aberrations of the firstembodiment.

FIG. 22 is a schematic diagram of an optical imaging lens according to afifth embodiment of the disclosure. FIG. 23A to FIG. 23D are diagrams oflongitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the fifth embodiment. Referring toFIG. 22 first, the fifth embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: the fifth lens element 5 has a different Abbe number(the Abbe number V5 of the fifth lens element 5 in the fifth embodimentis 23.529, while the Abbe number V5 of the fifth lens element 5 in thefirst embodiment is 37.490), and optical data, aspheric surfacecoefficients, and parameters between the lens elements 1, 2, 3, 4, and 5are different to some extent. In addition, in the present embodiment,the optical axis region 151 of the object-side surface 15 of the firstlens element 1 is convex. The optical axis region 161 of the image-sidesurface 16 of the first lens element 1 is concave. The periphery region463 of the image-side surface 46 of the fourth lens element 4 is convex.Herein, it should be noted that, for clearly presenting the diagram,same reference numbers of optical axis regions and periphery regions inthe two embodiments are omitted in FIG. 22.

Detailed optical data of the optical imaging lens 10 in the fifthembodiment is shown in FIG. 24, and the optical imaging lens 10 in thefifth embodiment has an EFL of 1.880 mm, an HFOV of 52.504°, a Fno of2.763, a TTL of 3.844 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the fifth embodiment in Formula (1) are shown in FIG. 25.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the fifth embodiment is shown in FIG. 42 and FIG. 43.

Longitudinal spherical aberrations of the fifth embodiment are shown inFIG. 23A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.004 mm. In two fieldcurvature aberration diagrams of FIG. 23B and FIG. 23C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.08 mm. A distortion aberration diagram ofFIG. 23D shows that distortion aberrations of the fifth embodiment areretained within a range of ±7%.

Based on the above, it can be seen that the HFOV in the fifth embodimentis greater than the HFOV in the first embodiment. Therefore, comparedwith the first embodiment, the fifth embodiment has a larger imagereceiving angle. In addition, the longitudinal spherical aberrations ofthe fifth embodiment are less than the longitudinal sphericalaberrations of the first embodiment, and the distortion aberrations ofthe fifth embodiment are less than the distortion aberrations of thefirst embodiment.

FIG. 26 is a schematic diagram of an optical imaging lens according to asixth embodiment of the disclosure. FIG. 27A to FIG. 27D are diagrams oflongitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the sixth embodiment. Referring toFIG. 26 first, the sixth embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: the fourth lens element 4 has a different Abbe number(the Abbe number V4 of the fourth lens element 4 in the sixth embodimentis 37.490, while the Abbe number V4 of the fourth lens element 4 in thefirst embodiment is 55.690), the fifth lens element 5 has a differentAbbe number (the Abbe number V5 of the fifth lens element 5 in the sixthembodiment is 49.620, while the Abbe number V5 of the fifth lens element5 in the first embodiment is 37.490), and optical data, aspheric surfacecoefficients, and parameters between the lens elements 1, 2, 3, 4, and 5are different to some extent. In addition, in the present embodiment,the optical axis region 151 of the object-side surface 15 of the firstlens element 1 is convex. The optical axis region 161 of the image-sidesurface 16 of the first lens element 1 is concave. The periphery region453 of the object-side surface 45 of the fourth lens element 4 isconcave. The periphery region 463 of the image-side surface 46 of thefourth lens element 4 is convex. The fifth lens element 5 has positiverefracting power. The optical axis region 561 of the image-side surface56 of the fifth lens element 5 is convex. Herein, it should be notedthat, for clearly presenting the diagram, same reference numbers ofoptical axis regions and periphery regions in the two embodiments areomitted in FIG. 26.

Detailed optical data of the optical imaging lens 10 in the sixthembodiment is shown in FIG. 28, and the optical imaging lens 10 in thesixth embodiment has an EFL of 1.059 mm, an HFOV of 51.995°, a Fno of2.734, a TTL of 3.064 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the sixth embodiment in Formula (1) are shown in FIG. 29.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the sixth embodiment is shown in FIG. 44 and FIG. 45.

Longitudinal spherical aberrations of the sixth embodiment are shown inFIG. 27A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.016 mm. In two fieldcurvature aberration diagrams of FIG. 27B and FIG. 27C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.40 mm. A distortion aberration diagram ofFIG. 27D shows that distortion aberrations of the sixth embodiment areretained within a range of ±70%.

Based on the above, it can be seen that the HFOV in the sixth embodimentis greater than the HFOV in the first embodiment. Therefore, comparedwith the first embodiment, the sixth embodiment has a larger imagereceiving angle. In addition, the TTL in the sixth embodiment is lessthan the TTL in the first embodiment.

FIG. 30 is a schematic diagram of an optical imaging lens according to aseventh embodiment of the disclosure. FIG. 31A to FIG. 31D are diagramsof longitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the seventh embodiment. Referring toFIG. 30 first, the seventh embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: the fifth lens element 5 has a different Abbe number(the Abbe number V5 of the fifth lens element 5 in the seventhembodiment is 23.529, while the Abbe number V5 of the fifth lens element5 in the first embodiment is 37.490), and optical data, aspheric surfacecoefficients, and parameters between the lens elements 1, 2, 3, 4, and 5are different to some extent. In addition, in the present embodiment,the optical axis region 151 of the object-side surface 15 of the firstlens element 1 is convex. The optical axis region 161 of the image-sidesurface 16 of the first lens element 1 is concave. The periphery region463 of the image-side surface 46 of the fourth lens element 4 is convex.Herein, it should be noted that, for clearly presenting the diagram,same reference numbers of optical axis regions and periphery regions inthe two embodiments are omitted in FIG. 30.

Detailed optical data of the optical imaging lens 10 in the seventhembodiment is shown in FIG. 32, and the optical imaging lens 10 in theseventh embodiment has an EFL of 2.175 mm, an HFOV of 52.528°, a Fno of2.621, a TTL of 3.844 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the seventh embodiment in Formula (1) are shown in FIG. 33.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the seventh embodiment is shown in FIG. 44 and FIG.45.

Longitudinal spherical aberrations of the seventh embodiment are shownin FIG. 31A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.025 mm. In two fieldcurvature aberration diagrams of FIG. 31B and FIG. 31C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.10 mm. A distortion aberration diagram ofFIG. 31D shows that distortion aberrations of the seventh embodiment areretained within a range of ±20%.

Based on the above, it can be seen that the HFOV in the seventhembodiment is greater than the HFOV in the first embodiment. Therefore,compared with the first embodiment, the seventh embodiment has a largerimage receiving angle.

FIG. 34 is a schematic diagram of an optical imaging lens according toan eighth embodiment of the disclosure. FIG. 35A to FIG. 35D arediagrams of longitudinal spherical aberrations and astigmaticaberrations of the optical imaging lens according to the eighthembodiment. Referring to FIG. 34 first, the eighth embodiment of theoptical imaging lens 10 of the disclosure is basically similar to thefirst embodiment, which differ as follows: the fifth lens element 5 hasa different Abbe number (the Abbe number V5 of the fifth lens element 5in the eighth embodiment is 23.529, while the Abbe number V5 of thefifth lens element 5 in the first embodiment is 37.490), and opticaldata, aspheric surface coefficients, and parameters between the lenselements 1, 2, 3, 4, and 5 are different to some extent. In addition, inthe present embodiment, the optical axis region 151 of the object-sidesurface 15 of the first lens element 1 is convex, and the peripheryregion 153 of the object-side surface 15 of the first lens element 1 isconcave. The optical axis region 161 of the image-side surface 16 of thefirst lens element 1 is concave. The periphery region 453 of theobject-side surface 45 of the fourth lens element 4 is concave. Theperiphery region 463 of the image-side surface 46 of the fourth lenselement 4 is convex. Herein, it should be noted that, for clearlypresenting the diagram, same reference numbers of optical axis regionsand periphery regions in the two embodiments are omitted in FIG. 34.

Detailed optical data of the optical imaging lens 10 in the eighthembodiment is shown in FIG. 36, and the optical imaging lens 10 in theeighth embodiment has an EFL of 2.028 mm, an HFOV of 53.099°, a Fno of2.113, a TTL of 3.792 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the eighth embodiment in Formula (1) are shown in FIG. 37.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the eighth embodiment is shown in FIG. 44 and FIG.45.

Longitudinal spherical aberrations of the eighth embodiment are shown inFIG. 35A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.03 mm. In two fieldcurvature aberration diagrams of FIG. 35B and FIG. 35C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.20 mm. A distortion aberration diagram ofFIG. 35D shows that distortion aberrations of the eighth embodiment areretained within a range of ±16%.

Based on the above, it can be seen that the HFOV in the eighthembodiment is greater than the HFOV in the first embodiment. Therefore,compared with the first embodiment, the eighth embodiment has a largerimage receiving angle. In addition, the Fno in the eighth embodiment isless than the Fno in the first embodiment.

FIG. 38 is a schematic diagram of an optical imaging lens according to aninth embodiment of the disclosure. FIG. 39A to FIG. 39D are diagrams oflongitudinal spherical aberrations and astigmatic aberrations of theoptical imaging lens according to the ninth embodiment. Referring toFIG. 38 first, the ninth embodiment of the optical imaging lens 10 ofthe disclosure is basically similar to the first embodiment, whichdiffer as follows: the fifth lens element 5 has a different Abbe number(the Abbe number V5 of the fifth lens element 5 in the ninth embodimentis 23.529, while the Abbe number V5 of the fifth lens element 5 in thefirst embodiment is 37.490), and optical data, aspheric surfacecoefficients, and parameters between the lens elements 1, 2, 3, 4, and 5are different to some extent. In addition, in the present embodiment,the optical axis region 151 of the object-side surface 15 of the firstlens element 1 is convex. The optical axis region 161 of the image-sidesurface 16 of the first lens element 1 is concave. The periphery region453 of the object-side surface 45 of the fourth lens element 4 isconcave. The periphery region 463 of the image-side surface 46 of thefourth lens element 4 is convex. Herein, it should be noted that, forclearly presenting the diagram, same reference numbers of optical axisregions and periphery regions in the two embodiments are omitted in FIG.38.

Detailed optical data of the optical imaging lens 10 in the ninthembodiment is shown in FIG. 40, and the optical imaging lens 10 in theninth embodiment has an EFL of 1.977 mm, an HFOV of 52.410°, a Fno of2.248, a TTL of 4.279 mm, and an image height of 2.297 mm.

Aspheric surface coefficients of the object-side surface 15 of the firstlens element 1 to the image-side surface 56 of the fifth lens element 5in the ninth embodiment in Formula (1) are shown in FIG. 41.

In addition, a relationship between important parameters of the opticalimaging lens 10 in the ninth embodiment is shown in FIG. 44 and FIG. 45.

Longitudinal spherical aberrations of the ninth embodiment are shown inFIG. 39A, and imaging point deviations of off-axis rays at differentheights are controlled within a range of ±0.02 mm. In two fieldcurvature aberration diagrams of FIG. 39B and FIG. 39C, focal lengthvariations of three representative wavelengths in an entire field ofview fall within a range of ±0.12 mm. A distortion aberration diagram ofFIG. 39D shows that distortion aberrations of the ninth embodiment areretained within a range of ±12%.

Based on the above, it can be seen that the HFOV in the ninth embodimentis greater than the HFOV in the first embodiment. Therefore, comparedwith the first embodiment, the ninth embodiment has a larger imagereceiving angle. In addition, the Fno in the ninth embodiment is lessthan the Fno in the first embodiment. The distortion aberrations of theninth embodiment are less than distortion aberrations of the firstembodiment.

Further refer to FIG. 42, FIG. 43, FIG. 44, and FIG. 45, which are tablediagrams of optical parameters in the first embodiment to the ninthembodiment.

To more effectively help reduce a chromatic aberration for the opticalimaging lens 10, the optical imaging lens 10 in the embodiments of thedisclosure satisfies the following conditional expression:V2+V3+V4+V5≤170.000. An exemplary range is 150.000≤V2+V3+V4+V5≤170.000.

To effectively reduce the TTL of the optical imaging lens 10, theoptical imaging lens 10 in the embodiments of the disclosure satisfiesthe following conditional expression: (T2+T4)/(T1+G12)≥2.900. Apreferable range is 2.900≤(T2+T4)/(T1+G12)≤4.200.

To effectively increase the luminous flux and expand the field of view,the optical imaging lens 10 in the embodiments of the disclosuresatisfies the following conditional expression: HFOV/Fno≥19.000°. Apreferable range is 19.000°≤HFOV/Fno≤25.500°.

To reduce the TTL of the lens and ensure imaging quality, reducing anair gap between lens elements or properly reducing a thickness of a lenselement is also encompassed in the disclosure. However, considering thedifficulty in manufacturing, exemplary configurations may be implementedthrough limitation by numerical values of the following conditionalexpressions.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: (T4+T5)/T1≥4.900. Apreferable range is 4.900≤(T4+T5)/T1≤5.900.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: BFL/(T3+G34)≥1.700. Apreferable range is 1.700≤BFL/(T3+G34)≤2.600.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: ALT/(T1+G23+T3)≥3.500. Apreferable range is 3.500≤ALT/(T1+G23+T3)≤4.700.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: EFL/(T2+G45)≤3.500. Apreferable range is 1.500≤EFL/(T2+G45)≤3.500.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression:(BFL+AAG)/(T4+G45)≤2.100. A preferable range is1.100≤(BFL+AAG)/(T4+G45)≤2.100.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: TL/BFL≤4.100. Apreferable range is 2.300≤TL/BFL≤4.100.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: ALT/AAG≥3.800. Apreferable range is 3.800≤ALT/AAG≤5.800.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: TTL/(T1+G12+T2)≤4.400. Apreferable range is 3.100≤TTL/(T1+G12+T2)≤4.400.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: (T3+AAG)/T5≤2.500. Apreferable range is 1.100≤(T3+AAG)/T5≤2.500.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: (T3+T4)/T1≥4.000. Apreferable range is 4.000≤(T3+T4)/T1≤5.000.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: ALT/(G34+T5)≥3.200. Apreferable range is 3.200≤ALT/(G34+T5)≤4.700.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: EFL/(G12+T4)≤2.600. Apreferable range is 1.100≤EFL/(G12+T4)≤2.600.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: AAG/(G12+G23)≤3.200. Apreferable range is 1.400≤AAG/(G12+G23)≤3.200.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: T2/(T3+G45)≥1.300. Apreferable range is 1.300≤T2/(T3+G45)≤2.900.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: (G23+ALT)/T4≤3.200. Apreferable range is 2.400≤(G23+ALT)/T4≤3.200.

The optical imaging lens 10 in the embodiments of the disclosure furthersatisfies the following conditional expression: (T3+T4)/AAG≥1.700. Apreferable range is 1.700≤(T3+T4)/AAG≤2.900.

In addition, the parameters in the embodiments may be selected andcombined in any way to impose more lens limitations to facilitate designof a lens having the same architecture as the disclosure. In view of theunpredictability of optical system design, in the architecture of thedisclosure, by satisfying the conditional expressions, the opticalimaging lens in the embodiments of the disclosure exemplarily can have adepth reduced, an available aperture enlarged, and imaging qualityimproved, and occupy a smaller area when arranged in a photographingapparatus, or can have an assembly yield improved to overcome aprior-art disadvantage.

The exemplary limitative relational expressions listed above may also beselectively combined in different quantities for application in theembodiments of the disclosure, and the disclosure is not limitedthereto. In implementation of the disclosure, in addition to therelational expressions, more detailed structures such as concave-convexsurface arrangement of lens elements may be additionally designed for asingle lens or a plurality of general lenses to enhance systemperformance and/or resolution control. It should be noted that suchdetails need to be selectively combined and applied to other embodimentsof the disclosure without conflict.

Based on the above, the optical imaging lens 10 in the embodiments ofthe disclosure can achieve the following effects and advantages:

1. Longitudinal spherical aberrations, astigmatic aberrations,distortions in the embodiments of the disclosure are in compliance withusage specifications. In addition, off-axis rays of the threerepresentative wavelengths of red, green, and blue at different heightsare focused near an imaging point, and from deflection amplitude of eachcurve, it can be seen that imaging point deviations of the off-axis raysat different heights are controlled to achieve a desired sphericalaberration, astigmatic aberration, and distortion suppressioncapability. Further, referring to imaging quality data, the threerepresentative wavelengths of red, green, and blue are quite close toeach other. It indicates that the disclosure can focus rays of differentwavelengths well in different circumstances and have an excellentdispersion suppression capability. Based on the above, the disclosurecan produce excellent imaging quality through design and collocation ofthe lens elements.

2. In the optical imaging lens in the embodiments of the disclosure, (a)the first lens element is designed to have negative refracting power,the periphery region of the object-side surface of the third lenselement is designed concave, and the periphery region of the image-sidesurface of the third lens element is designed concave; (b) the peripheryregion of the image-side surface of the third lens element is designedconcave, the fourth lens is designed to have positive refracting power,and a proper lens material is selected so that the optical imaging lenssatisfies V2+V3+V4+V5≤170.000; (c) the periphery region of theobject-side surface of the third lens element is designed concave, theperiphery region of the image-side surface of the third lens element isdesigned concave, and a proper lens material is selected so that theoptical imaging lens satisfies V2+V3+V4+V5≤170.000. Therefore, theoptical imaging lens can reduce a spherical aberration and an astigmaticaberration of the optical system and reduce a distortion.

3. In the optical imaging lens in the embodiments of the disclosure, theaperture is disposed between the first lens element and the second lenselement. Therefore, while maintaining imaging quality, the opticalimaging lens can effectively expand the field of view, so that theoptical imaging lens is in a smaller size and occupies a smaller areawhen arranged in a photographing apparatus.

4. The aspheric design of the lens elements in the embodiments of thedisclosure facilitates optimization of image quality.

5. The lens elements in the embodiments of the disclosure are made froma plastic material, which contributes to light weight, and can reducethe weight and costs of the optical imaging lens.

A numerical range including maximum and minimum values that is obtainedbased on combination and proportional relationships of the opticalparameters disclosed in the embodiments of the disclosure may beimplemented according thereto.

It will be apparent to those skilled in the art that variousmodifications and variations can be made to the structure of thedisclosure without departing from the scope or spirit of the disclosure.In view of the foregoing, it is intended that the disclosure covermodifications and variations of the disclosure provided they fall withinthe scope of the following claims and their equivalents.

What is claimed is:
 1. An optical imaging lens, sequentially comprisinga first lens element, an aperture, a second lens element, a third lenselement, a fourth lens element, and a fifth lens element from an objectside to an image side along an optical axis, wherein each of the firstlens element to the fifth lens element comprises an object-side surfacefacing the object side and allowing imaging rays to pass through and animage-side surface facing the image side and allowing the imaging raysto pass through, wherein the first lens element has negative refractingpower; an optical axis region of the object-side surface of the secondlens element is convex; a periphery region of the object-side surface ofthe third lens element is concave, and a periphery region of theimage-side surface of the third lens element is concave; and lenselements having refractive powers in the optical imaging lens are onlythe first lens element to the fifth lens element, and the opticalimaging lens satisfies the following conditional expressions:(T2+T4)/(T1+G12)≥2.900 and ALT/(T1+G23+T3)≥3.500, wherein T1 is athickness of the first lens element along the optical axis, T2 is athickness of the second lens element along the optical axis, T3 is athickness of the third lens element along the optical axis, T4 is athickness of the fourth lens element along the optical axis, G12 is anair gap between the first lens element and the second lens element alongthe optical axis, G23 is an air gap between the second lens element andthe third lens element along the optical axis, and ALT is a sum of fivethicknesses of the first lens element to the fifth lens element alongthe optical axis.
 2. The optical imaging lens according to claim 1,wherein the optical imaging lens further satisfies the followingconditional expression: (T4+T5)/T1≥4.900, wherein T5 is a thickness ofthe fifth lens element along the optical axis.
 3. The optical imaginglens according to claim 1, wherein the optical imaging lens furthersatisfies the following conditional expression: BFL/(T3+G34)≥1.700,wherein BFL is a distance from the image-side surface of the fifth lenselement to an image plane along the optical axis, and G34 is an air gapbetween the third lens element and the fourth lens element along theoptical axis.
 4. The optical imaging lens according to claim 1, whereinthe optical imaging lens further satisfies the following conditionalexpression: EFL/(T3+G34)≤3.500, wherein EFL is an effective focal lengthof the optical imaging lens, and G45 is an air gap between the fourthlens element and the fifth lens element along the optical axis.
 5. Theoptical imaging lens according to claim 1, wherein the optical imaginglens further satisfies the following conditional expression:(BFL+AAG)/(T4+G45)≤2.100, wherein BFL is a distance from the image-sidesurface of the fifth lens element to an image plane along the opticalaxis, AAG is a sum of four air gaps between the first lens element andthe fifth lens element along the optical axis, and G45 is the air gapbetween the fourth lens element and the fifth lens element along theoptical axis.
 6. The optical imaging lens according to claim 1, whereinthe optical imaging lens further satisfies the following conditionalexpression: TL/BFL≤4.100, wherein TL is a distance from the object-sidesurface of the first lens element to the image-side surface of the fifthlens element along the optical axis, and BFL is a distance from theimage-side surface of the fifth lens element to an image plane along theoptical axis.
 7. An optical imaging lens, sequentially comprising afirst lens element, an aperture, a second lens element, a third lenselement, a fourth lens element, and a fifth lens element from an objectside to an image side along an optical axis, wherein each of the firstlens element to the fifth lens element comprises an object-side surfacefacing the object side and allowing imaging rays to pass through and animage-side surface facing the image side and allowing the imaging raysto pass through, wherein an optical axis region of the object-sidesurface of the second lens element is convex; a periphery region of theimage-side surface of the third lens element is concave; the fourth lenselement has positive refracting power; and lens elements havingrefractive powers in the optical imaging lens are only the first lenselement to the fifth lens element, and the optical imaging lenssatisfies the following conditional expressions: (T2+T4)/(T1+G12)>2.900,V2+V3+V4+V5≤170.000 and ALT/(T1+G23+T3)≥3.500, wherein T1 is a thicknessof the first lens element along the optical axis, T2 is a thickness ofthe second lens element along the optical axis, T3 is a thickness of thethird lens element along the optical axis, T4 is a thickness of thefourth lens element along the optical axis, G12 is an air gap betweenthe first lens element and the second lens element along the opticalaxis, G23 is an air gap between the second lens element and the thirdlens element along the optical axis, V2 is an Abbe number of the secondlens element, V3 is an Abbe number of the third lens element, V4 is anAbbe number of the fourth lens element, V5 is an Abbe number of thefifth lens element, and ALT is a sum of five thicknesses of the firstlens element to the fifth lens element along the optical axis.
 8. Theoptical imaging lens according to claim 7, wherein the optical imaginglens further satisfies the following conditional expression:ALT/AAG≥3.800, wherein AAG is a sum of four air gaps between the firstlens element and the fifth lens element along the optical axis.
 9. Theoptical imaging lens according to claim 7, wherein the optical imaginglens further satisfies the following conditional expression:TTL/(T1+G12+T2)≤4.400, wherein TTL is a distance from the object-sidesurface of the first lens element to an image plane along the opticalaxis.
 10. The optical imaging lens according to claim 7, wherein theoptical imaging lens further satisfies the following conditionalexpression: (T3+AAG)/T5≤2.500, wherein T5 is a thickness of the fifthlens element along the optical axis, and AAG is a sum of four air gapsbetween the first lens element and the fifth lens element along theoptical axis.
 11. The optical imaging lens according to claim 7, whereinthe optical imaging lens further satisfies the following conditionalexpression: (T3+T4)/T1≥4.000.
 12. The optical imaging lens according toclaim 7, wherein the optical imaging lens further satisfies thefollowing conditional expression: ALT/(G34+T5)≥3.200, wherein G34 is anair gap between the third lens element and the fourth lens element alongthe optical axis, and T5 is a thickness of the fifth lens element alongthe optical axis.
 13. The optical imaging lens according to claim 7,wherein the optical imaging lens further satisfies the followingconditional expression: EFL/(G12+T4)≤2.600, wherein EFL is an effectivefocal length of the optical imaging lens.
 14. An optical imaging lens,sequentially comprising a first lens element, an aperture, a second lenselement, a third lens element, a fourth lens element, and a fifth lenselement from an object side to an image side along an optical axis,wherein each of the first lens element to the fifth lens elementcomprises an object-side surface facing the object side and allowingimaging rays to pass through and an image-side surface facing the imageside and allowing the imaging rays to pass through, wherein an opticalaxis region of the object-side surface of the second lens element isconvex; a periphery region of the object-side surface of the third lenselement is concave, and a periphery region of the image-side surface ofthe third lens element is concave; and lens elements having refractivepowers in the optical imaging lens are only the first lens element tothe fifth lens element, and the optical imaging lens satisfies thefollowing conditional expressions: (T2+T4)/(T1+G12)≥2.900,V2+V3+V4+V5≤170.000 and ALT/(T1+G23+T3)>3.500, wherein T1 is a thicknessof the first lens element along the optical axis, T2 is a thickness ofthe second lens element along the optical axis, T3 is a thickness of thethird lens element along the optical axis, T4 is a thickness of thefourth lens element along the optical axis, G12 is an air gap betweenthe first lens element and the second lens element along the opticalaxis, G23 is an air gap between the second lens element and the thirdlens element along the optical axis, V2 is an Abbe number of the secondlens element, V3 is an Abbe number of the third lens element, V4 is anAbbe number of the fourth lens element, V5 is an Abbe number of thefifth lens element, and ALT is a sum of five thicknesses of the firstlens element to the fifth lens element along the optical axis.
 15. Theoptical imaging lens according to claim 14, wherein the optical imaginglens further satisfies the following conditional expression:HFOV/Fno≥19.000°, wherein HFOV is a half field of view of the opticalimaging lens, and Fno is a F-number of the optical imaging lens.
 16. Theoptical imaging lens according to claim 14, wherein the optical imaginglens further satisfies the following conditional expression:AAG/(G12+G23)≤3.200, wherein AAG is a sum of four air gaps between thefirst lens element and the fifth lens element along the optical axis.17. The optical imaging lens according to claim 14, wherein the opticalimaging lens further satisfies the following conditional expression:T2/(T3+G45)>1.300, wherein G45 is an air gap between the fourth lenselement and the fifth lens element along the optical axis.
 18. Theoptical imaging lens according to claim 14, wherein the optical imaginglens further satisfies the following conditional expression:(G23+ALT)/T4≤3.200.
 19. The optical imaging lens according to claim 14,wherein the optical imaging lens further satisfies the followingconditional expression: (T3+T4)/AAG≥1.700, wherein AAG is a sum of fourair gaps between the first lens element and the fifth lens element alongthe optical axis.